Algebra 1 Functions Test

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y) that the function can produce.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x) corresponds to exactly one output (y).

Front

What is the notation for a function?

Back

Functions are typically denoted by letters such as f, g, or h, followed by the input in parentheses, e.g., f(x).

Front

What does f(x) = 3x - 7 represent?

Back

This is a linear function where the slope is 3 and the y-intercept is -7.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the input value into the function's equation.

Front

What is the difference between a relation and a function?

Back

A relation can have multiple outputs for a single input, while a function has only one output for each input.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).